Evaluate the Integral $\int \left( - 2 x ^ { 2 } - 9 x - 9 \right) d x$

question 65

Multiple Choice

Evaluate the integral $\int \left( - 2 x ^ { 2 } - 9 x - 9 \right) d x$ .

• A) \(- 6 x ^ { 3 } - 18 x ^ { 2 } - 9 x + C\)
• B) \(- \frac { 2 } { 3 } x ^ { 3 } - \frac { 9 } { 2 } x ^ { 2 } + \frac { 81 } { 2 } + C\)
• C) \(- \frac { 2 } { 3 } x ^ { 3 } - \frac { 9 } { 2 } x ^ { 2 } + \frac { 81 } { 2 } x + C\)
• D) \(- \frac { 2 } { 3 } x ^ { 3 } - \frac { 9 } { 2 } x ^ { 2 } - 9 x + C\)
• E) \(- 4 x - 9 + C\)

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Definitions:

Quantity Supplied

The amount of a good or service that producers are willing and able to sell at a given price during a specific period.

Production Costs

Expenses incurred in the process of creating a product or service, including raw materials, labor, and overheads.

Substitute Goods

Products or services that can replace each other in use, serving the same purpose, leading consumers to switch based on changes in price, availability, or preferences.

Price Floor

A government-imposed minimum price charged for a commodity, preventing prices from falling below that level to protect producers.